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Finding the Third Proportional to 10,513.55 and 15,280.52

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Solution

The third proportional to 10,513.55 and 15,280.52 is: 22,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.55 : 15,280.52 = 15,280.52 : x
  2. Step 2: Convert to fraction form
    10,513.55/15,280.52 = 15,280.52/x
  3. Step 3: Cross multiply
    10,513.55x = 15,280.52 × 15,280.52
  4. Step 4: Simplify right side
    10,513.55x = 233,494,396.52
  5. Step 5: Solve for x
    x = 233,494,396.52/10,513.55
  6. Step 6: Final answer
    x = 22,208.91

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.